We prove that every algebraic stack, locally of finite type over an algebraically closed field
with affine stabilizers, is étale-locally a quotient stack in a neighborhood of a point with a …

We prove a Givental-style mirror theorem for toric Deligne–Mumford stacks X. This
determines the genus-zero Gromov–Witten invariants of X in terms of an explicit …

We construct new families of supersymmetric AdS $ _2\times\mathbb {M} _4 $ solutions of $
D= 6$ gauged supergravity and AdS $ _3\times\mathbb {M} _4 $ solutions of $ D= 7 …

The Remodeling Conjecture proposed by Bouchard-Klemm-Mariño-Pasquetti (BKMP)
relates the A-model open and closed topological string amplitudes (the all genus open and …

Let X and Y be K-equivalent toric Deligne–Mumford stacks related by a single toric wall-
crossing. We prove the Crepant Transformation Conjecture in this case, fully-equivariantly …

Let $ G $ be a finite subgroup of $\mathrm {SU}(4) $ such that its elements have age at most
one. In the first part of this paper, we define $ K $-theoretic stable pair invariants on a …

We define a notion of height for rational points with respect to a vector bundle on a proper
algebraic stack with finite diagonal over a global field, which generalizes the usual notion for …

The nonequivariant coherent-constructible correspondence is a microlocal-geometric
interpretation of homological mirror symmetry for toric varieties conjectured by Fang, Liu …

We propose an intersection-theoretic method to reduce questions in genus 0 logarithmic
Gromov–Witten theory to questions in the Gromov–Witten theory of smooth pairs, in the …

Toric stacks I: The theory of stacky fans Page 1 TRANSACTIONS OF THE AMERICAN
MATHEMATICAL SOCIETY Volume 367, Number 2, February 2015, Pages 1033–1071 S …